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Finding the Fourth Proportional to 19,773.78, 29,656.03 and 5,730.06

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Solution

The fourth proportional to 19,773.78, 29,656.03 and 5,730.06 is: 8,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.78 : 29,656.03 = 5,730.06 : x
  2. Step 2: Convert to fraction form
    19,773.78/29,656.03 = 5,730.06/x
  3. Step 3: Cross multiply
    19,773.78x = 29,656.03 × 5,730.06
  4. Step 4: Simplify right side
    19,773.78x = 169,930,831.26
  5. Step 5: Solve for x
    x = 169,930,831.26/19,773.78
  6. Step 6: Final answer
    x = 8,593.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.